Abstract
Motivated by recent experimental progress on various cluster Mott insulators, we study an extended Hubbard model on a breathing Kagom\'{e} lattice with a single electron orbital and $1/6$ electron filling. Two distinct types of cluster localization are found in the cluster Mott regime due to the presence of the electron repulsion between neighboring sites, rather than from the on-site Hubbard interaction in the conventional Mott insulators. We introduce a unified parton construction framework to accommodate both type of cluster Mott insulating phase as well as a trivial Ferm liquid metal and discuss the phase transitions in the phase diagram. It is shown that, in one of the cluster localization phases, the strong inter-site repulsion results into locally metallic behavior within one of two triangular clusters on the breathing Kagom\'{e} lattice. We further comment on experimental relevance to existing Mo-based cluster magnets.
Highlights
Cluster Mott insulators (CMIs) seem to become a new frontier For Exploring the emergent correlated physics [1,2,3]
We present the observation by showing the existence of distinct cluster localizations and study the phase transition between the CMIs on the breathing kagome lattice
We explore the phase transition between two distinct cluster localizations and further address the consequences on the spin physics
Summary
Cluster Mott insulators (CMIs) seem to become a new frontier For Exploring the emergent correlated physics [1,2,3]. In expectation of the large internal electronic degrees of freedom inside each cluster, we explore the rich phase diagram of the CMIs. We present the observation by showing the existence of distinct cluster localizations and study the phase transition between the CMIs on the breathing kagome lattice. Nikolaev, Solovyev, and Streltsov suggested that different localization regimes could emerge due to the competition between kinetic energy and intersite Coulomb interactions based on the first-principles calculations [27] Encouraged by these results, we here study a 1/6-filled extended Hubbard model with the nearest-neighbor repulsions on a breathing kagome lattice with the modified slave-particle mean-field analysis.
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